{"title":"系数理想的概括","authors":"P. Lima","doi":"10.1090/conm/773/15537","DOIUrl":null,"url":null,"abstract":"<p>In this paper we give a generalization of the coefficient ideals of an <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"German m\"> <mml:semantics> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mi mathvariant=\"fraktur\">m</mml:mi> </mml:mrow> <mml:annotation encoding=\"application/x-tex\">\\mathfrak {m}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-primary ideal <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper I\"> <mml:semantics> <mml:mi>I</mml:mi> <mml:annotation encoding=\"application/x-tex\">I</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in a quasi-unmixed local ring <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper R\"> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding=\"application/x-tex\">R</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with infinite residue field.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A generalization of coefficient ideals\",\"authors\":\"P. Lima\",\"doi\":\"10.1090/conm/773/15537\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper we give a generalization of the coefficient ideals of an <inline-formula content-type=\\\"math/mathml\\\"> <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\" alttext=\\\"German m\\\"> <mml:semantics> <mml:mrow class=\\\"MJX-TeXAtom-ORD\\\"> <mml:mi mathvariant=\\\"fraktur\\\">m</mml:mi> </mml:mrow> <mml:annotation encoding=\\\"application/x-tex\\\">\\\\mathfrak {m}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-primary ideal <inline-formula content-type=\\\"math/mathml\\\"> <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\" alttext=\\\"upper I\\\"> <mml:semantics> <mml:mi>I</mml:mi> <mml:annotation encoding=\\\"application/x-tex\\\">I</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in a quasi-unmixed local ring <inline-formula content-type=\\\"math/mathml\\\"> <mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\" alttext=\\\"upper R\\\"> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding=\\\"application/x-tex\\\">R</mml:annotation> </mml:semantics> </mml:math> </inline-formula> with infinite residue field.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1090/conm/773/15537\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1090/conm/773/15537","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we give a generalization of the coefficient ideals of an m\mathfrak {m}-primary ideal II in a quasi-unmixed local ring RR with infinite residue field.
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